Least Common Multiple of 324/67, 668/46, 735/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 324/67, 668/46, 735/522 quickly i.e. 13256460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 324/67, 668/46, 735/522 is 13256460.

LCM(324/67, 668/46, 735/522) = 13256460

LCM of 324/67, 668/46, 735/522

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 324/67,668/46,735/522

Given numbers are 324/67,668/46,735/522

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 324,668,735

Least Common Multiple of Numerators i.e. LCM of 324,668,735 is 13256460.

GCF of Denominators means GCF of 67,46,522 as per the given fractions.

GCF of 67,46,522 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 324,668,735

LCM of Fractions 324/67,668/46,735/522 is 13256460

2 324, 668, 735
2 162, 334, 735
3 81, 167, 735
27, 167, 245

∴ So the LCM of the given numbers is 2 x 2 x 3 x 27 x 167 x 245 = 13256460

Least Common Multiple of 324,668,735 with GCF Formula

Least Common Multiple of 324,668,735 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 324,668,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(324,668,735) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(324,668,735) x common factors =1 x 12 = 12

LCM(324,668,735) = ( 324 × 668 × 735 ) / 12

LCM(324,668,735) = 159077520 / 12

LCM(324,668,735) = 13256460


Lets's calculate GCF of 67,46,522

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13256460/1

Therefore the LCM of Fractions 324/67,668/46,735/522 is 13256460

Greatest Common Factor of 67,46,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,46,522 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 67,46,522 . The biggest common factor number is the GCF number.
So the greatest common factor 67,46,522 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 324/67, 668/46, 735/522

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 324/67, 668/46, 735/522?

Answer: LCM of Numerators as per given numbers 324/67, 668/46, 735/522 is

LCM of Numerators i.e. for 324,668,735 is 13256460

GCF of denominators i.e. for 67,46,522 is 1.

Thus, LCM of Fractions is 13256460.Finally, LCM of Fractions for 324/67, 668/46, 735/522 is 13256460.